{4, 1, 1, 0, 0, 0, 0}

Table of Percent Abundance (row: Lie-type, col: Group Factor):

6489	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6}
2847	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
1959	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6,1⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,3⇿6}

Created with Wolfram Mathematica 9.0